10073340000 has 360 divisors, whose sum is σ = 36106342272. Its totient is φ = 2663040000.

The previous prime is 10073339993. The next prime is 10073340019. The reversal of 10073340000 is 4337001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34379854 + ... + 34380146.

Almost surely, 2^10073340000 is an apocalyptic number.

10073340000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10073340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053171136).

10073340000 is an abundant number, since it is smaller than the sum of its proper divisors (26033002272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10073340000 is a wasteful number, since it uses less digits than its factorization.

10073340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 10073340000 its reverse (4337001), we get a palindrome (10077677001).

The spelling of 10073340000 in words is "ten billion, seventy-three million, three hundred forty thousand".